For what value of k, is the polynomial f(x) = 3x^4 – 9x^3 + x^2 + 15x + k

Polynomials (C10)

For what value of k, is the polynomial f(x) = 3x4 – 9x3 + x2 + 15x + k completely divisible by 3x2 – 5 ?

Answer

k + 10 = 0

⇒ k = –10